Interference of Mode Instabilities and Pattern Formation in Anharmonic Lattices

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Abstract
On an example of optically excited Klein-Gordon lattice, a striking new feature of anharmonic lattices related to dynamical coherent structure (pattern) formation is reported. It is shown that two factors are important for pattern formation: (i) lattice discreteness, which strongly reduces the number of lattice spatial modes among which the energy of external field is shared, and (ii) destructive interference of modulation instabilities of these modes resulting in stability of the pattern. Possible experimental realization is discussed.